Search a number
-
+
157821040 = 24513263577
BaseRepresentation
bin10010110100000…
…10100001110000
3101222222010202201
421122002201300
5310400233130
623354352544
73624312436
oct1132024160
9358863681
10157821040
11810a4313
1244a2b754
1326909a40
1416d62d56
15dcc6bca
hex9682870

157821040 has 80 divisors (see below), whose sum is σ = 397349568. Its totient is φ = 57950208.

The previous prime is 157821007. The next prime is 157821043. The reversal of 157821040 is 40128751.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157821043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273232 + ... + 273808.

Almost surely, 2157821040 is an apocalyptic number.

157821040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198674784).

157821040 is an abundant number, since it is smaller than the sum of its proper divisors (239528528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157821040 is a wasteful number, since it uses less digits than its factorization.

157821040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 157821040 is about 12562.6844265069. The cubic root of 157821040 is about 540.4078309144.

Adding to 157821040 its reverse (40128751), we get a palindrome (197949791).

The spelling of 157821040 in words is "one hundred fifty-seven million, eight hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 263 520 526 577 1040 1052 1154 1315 2104 2308 2630 2885 3419 4208 4616 5260 5770 6838 7501 9232 10520 11540 13676 15002 17095 21040 23080 27352 30004 34190 37505 46160 54704 60008 68380 75010 120016 136760 150020 151751 273520 300040 303502 600080 607004 758755 1214008 1517510 1972763 2428016 3035020 3945526 6070040 7891052 9863815 12140080 15782104 19727630 31564208 39455260 78910520 157821040